4 problems

Let $X$ be a smooth projective variety, let $\{\gamma_a\}$ and $\{\gamma^a\}$ be dual bases of $H^*(X,\mathbb Q)$, and let $g$ and $k$ be integers with $k>g$. Two-point vanishing c…

Let $X$ be a smooth projective variety. Given a basis $\{\gamma_a\}$ for $H^*(X,\mathbb Q)$, let $x_i,y_i\in H^*(X)$ and let $k\geq 2g-3+r+s$. Using Gathmann's conventions … and ……

Let $\mathcal{Q}_{g,0}$ denote the moduli space of holomorphic quadratic differentials in genus $g$ without marked points. Large-genus asymptotics conjecture. As $g\to+\infty$, its…

Let $\tau_a$ denote the cotangent-line classes used to define intersection numbers on the moduli spaces of stable curves, and let $\boldsymbol{\beth}$ denote the tautological ring…